TSTP Solution File: RNG120+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG120+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:15:08 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 70 ( 11 unt; 0 def)
% Number of atoms : 352 ( 76 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 406 ( 124 ~; 112 |; 140 &)
% ( 13 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 139 ( 93 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1274,plain,
$false,
inference(avatar_sat_refutation,[],[f521,f809,f1265,f1269,f1273]) ).
fof(f1273,plain,
( ~ spl43_16
| spl43_94 ),
inference(avatar_contradiction_clause,[],[f1272]) ).
fof(f1272,plain,
( $false
| ~ spl43_16
| spl43_94 ),
inference(subsumption_resolution,[],[f1271,f484]) ).
fof(f484,plain,
( aElement0(xu)
| ~ spl43_16 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl43_16
<=> aElement0(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_16])]) ).
fof(f1271,plain,
( ~ aElement0(xu)
| spl43_94 ),
inference(subsumption_resolution,[],[f1270,f355]) ).
fof(f355,plain,
aElement0(xq),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xq)
& ( sz00 = xr
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) )
& aElement0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
fof(f1270,plain,
( ~ aElement0(xq)
| ~ aElement0(xu)
| spl43_94 ),
inference(resolution,[],[f1264,f276]) ).
fof(f276,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sdtasdt0(X1,X0))
| ~ aElement0(X1) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X1,X0] :
( ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f1264,plain,
( ~ aElement0(sdtasdt0(xq,xu))
| spl43_94 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f1262,plain,
( spl43_94
<=> aElement0(sdtasdt0(xq,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_94])]) ).
fof(f1269,plain,
spl43_93,
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1268,plain,
( $false
| spl43_93 ),
inference(subsumption_resolution,[],[f1267,f355]) ).
fof(f1267,plain,
( ~ aElement0(xq)
| spl43_93 ),
inference(subsumption_resolution,[],[f1266,f360]) ).
fof(f360,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( ~ aElementOf0(X1,slsdtgt0(xb))
| sdtpldt0(X2,X1) != X0
| ~ aElementOf0(X2,slsdtgt0(xa)) ) )
| sz00 = X0 )
& sz00 != xu
& aElementOf0(xu,xI)
& aElementOf0(sK39,slsdtgt0(xb))
& aElementOf0(sK40,slsdtgt0(xa))
& xu = sdtpldt0(sK40,sK39) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f204,f205]) ).
fof(f205,plain,
( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa))
& xu = sdtpldt0(X4,X3) )
=> ( aElementOf0(sK39,slsdtgt0(xb))
& aElementOf0(sK40,slsdtgt0(xa))
& xu = sdtpldt0(sK40,sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( ~ aElementOf0(X1,slsdtgt0(xb))
| sdtpldt0(X2,X1) != X0
| ~ aElementOf0(X2,slsdtgt0(xa)) ) )
| sz00 = X0 )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa))
& xu = sdtpldt0(X4,X3) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
( ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| ( ~ aElementOf0(X2,xI)
& ! [X4,X3] :
( ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != X2
| ~ aElementOf0(X3,slsdtgt0(xa)) ) )
| sz00 = X2 )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa))
& sdtpldt0(X1,X0) = xu ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
( sz00 != xu
& ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa))
& sdtpldt0(X1,X0) = xu )
& ! [X2] :
( ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| ( ~ aElementOf0(X2,xI)
& ! [X4,X3] :
( ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != X2
| ~ aElementOf0(X3,slsdtgt0(xa)) ) )
| sz00 = X2 )
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
( sz00 != xu
& ? [X0,X1] :
( aElementOf0(X0,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa))
& sdtpldt0(X1,X0) = xu )
& ! [X2] :
( ( ( aElementOf0(X2,xI)
| ? [X3,X4] :
( aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2
& aElementOf0(X3,slsdtgt0(xa)) ) )
& sz00 != X2 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu)) )
& aElementOf0(xu,xI) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
( ? [X1,X0] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
& ! [X0] :
( ( sz00 != X0
& ( ? [X1,X2] :
( aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa))
& sdtpldt0(X1,X2) = X0 )
| aElementOf0(X0,xI) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f1266,plain,
( ~ aElementOf0(xu,xI)
| ~ aElement0(xq)
| spl43_93 ),
inference(resolution,[],[f1260,f332]) ).
fof(f332,plain,
! [X11,X13] :
( aElementOf0(sdtasdt0(X13,X11),xI)
| ~ aElementOf0(X11,xI)
| ~ aElement0(X13) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ! [X0] :
( ( aElementOf0(X0,slsdtgt0(xa))
| ! [X1] :
( sdtasdt0(xa,X1) != X0
| ~ aElement0(X1) ) )
& ( ( sdtasdt0(xa,sK35(X0)) = X0
& aElement0(sK35(X0)) )
| ~ aElementOf0(X0,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xb,X4) != X3 ) )
& ( ( aElement0(sK36(X3))
& sdtasdt0(xb,sK36(X3)) = X3 )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,xI)
| ! [X7,X8] :
( sdtpldt0(X8,X7) != X6
| ~ aElementOf0(X7,slsdtgt0(xb))
| ~ aElementOf0(X8,slsdtgt0(xa)) ) )
& ( ( sdtpldt0(sK38(X6),sK37(X6)) = X6
& aElementOf0(sK37(X6),slsdtgt0(xb))
& aElementOf0(sK38(X6),slsdtgt0(xa)) )
| ~ aElementOf0(X6,xI) ) )
& aSet0(xI)
& ! [X11] :
( ~ aElementOf0(X11,xI)
| ( ! [X12] :
( ~ aElementOf0(X12,xI)
| aElementOf0(sdtpldt0(X11,X12),xI) )
& ! [X13] :
( ~ aElement0(X13)
| aElementOf0(sdtasdt0(X13,X11),xI) ) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36,sK37,sK38])],[f198,f201,f200,f199]) ).
fof(f199,plain,
! [X0] :
( ? [X2] :
( sdtasdt0(xa,X2) = X0
& aElement0(X2) )
=> ( sdtasdt0(xa,sK35(X0)) = X0
& aElement0(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X3] :
( ? [X5] :
( aElement0(X5)
& sdtasdt0(xb,X5) = X3 )
=> ( aElement0(sK36(X3))
& sdtasdt0(xb,sK36(X3)) = X3 ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X6] :
( ? [X9,X10] :
( sdtpldt0(X10,X9) = X6
& aElementOf0(X9,slsdtgt0(xb))
& aElementOf0(X10,slsdtgt0(xa)) )
=> ( sdtpldt0(sK38(X6),sK37(X6)) = X6
& aElementOf0(sK37(X6),slsdtgt0(xb))
& aElementOf0(sK38(X6),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( ! [X0] :
( ( aElementOf0(X0,slsdtgt0(xa))
| ! [X1] :
( sdtasdt0(xa,X1) != X0
| ~ aElement0(X1) ) )
& ( ? [X2] :
( sdtasdt0(xa,X2) = X0
& aElement0(X2) )
| ~ aElementOf0(X0,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xb,X4) != X3 ) )
& ( ? [X5] :
( aElement0(X5)
& sdtasdt0(xb,X5) = X3 )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,xI)
| ! [X7,X8] :
( sdtpldt0(X8,X7) != X6
| ~ aElementOf0(X7,slsdtgt0(xb))
| ~ aElementOf0(X8,slsdtgt0(xa)) ) )
& ( ? [X9,X10] :
( sdtpldt0(X10,X9) = X6
& aElementOf0(X9,slsdtgt0(xb))
& aElementOf0(X10,slsdtgt0(xa)) )
| ~ aElementOf0(X6,xI) ) )
& aSet0(xI)
& ! [X11] :
( ~ aElementOf0(X11,xI)
| ( ! [X12] :
( ~ aElementOf0(X12,xI)
| aElementOf0(sdtpldt0(X11,X12),xI) )
& ! [X13] :
( ~ aElement0(X13)
| aElementOf0(sdtasdt0(X13,X11),xI) ) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
( ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xa))
| ! [X6] :
( sdtasdt0(xa,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) )
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xb,X4) != X3 ) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xb,X4) = X3 )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X2,X1) != X0
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ) )
& ( ? [X1,X2] :
( sdtpldt0(X2,X1) = X0
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& aSet0(xI)
& ! [X7] :
( ~ aElementOf0(X7,xI)
| ( ! [X8] :
( ~ aElementOf0(X8,xI)
| aElementOf0(sdtpldt0(X7,X8),xI) )
& ! [X9] :
( ~ aElement0(X9)
| aElementOf0(sdtasdt0(X9,X7),xI) ) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
( ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) )
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xb,X4) = X3 ) )
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X2,X1) = X0
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
& aSet0(xI)
& ! [X7] :
( ~ aElementOf0(X7,xI)
| ( ! [X8] :
( ~ aElementOf0(X8,xI)
| aElementOf0(sdtpldt0(X7,X8),xI) )
& ! [X9] :
( ~ aElement0(X9)
| aElementOf0(sdtasdt0(X9,X7),xI) ) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
( ! [X7] :
( aElementOf0(X7,xI)
=> ( ! [X8] :
( aElementOf0(X8,xI)
=> aElementOf0(sdtpldt0(X7,X8),xI) )
& ! [X9] :
( aElement0(X9)
=> aElementOf0(sdtasdt0(X9,X7),xI) ) ) )
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xb,X4) = X3 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X2,X1) = X0
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X2,X1] :
( aElementOf0(X1,slsdtgt0(xa))
& sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb)) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = X0 ) )
& ! [X0] :
( ? [X1] :
( aElement0(X1)
& sdtasdt0(xa,X1) = X0 )
<=> aElementOf0(X0,slsdtgt0(xa)) )
& aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(f1260,plain,
( ~ aElementOf0(sdtasdt0(xq,xu),xI)
| spl43_93 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1258,plain,
( spl43_93
<=> aElementOf0(sdtasdt0(xq,xu),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_93])]) ).
fof(f1265,plain,
( ~ spl43_93
| ~ spl43_94
| ~ spl43_39 ),
inference(avatar_split_clause,[],[f1251,f763,f1262,f1258]) ).
fof(f763,plain,
( spl43_39
<=> aElement0(smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl43_39])]) ).
fof(f1251,plain,
( ~ aElement0(sdtasdt0(xq,xu))
| ~ aElementOf0(sdtasdt0(xq,xu),xI)
| ~ spl43_39 ),
inference(resolution,[],[f1243,f217]) ).
fof(f217,plain,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ! [X0,X1] :
( sdtpldt0(X1,X0) != smndt0(sdtasdt0(xq,xu))
| ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X0,slsdtgt0(xb)) )
& ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ( aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
| ? [X1,X0] :
( sdtpldt0(X1,X0) = smndt0(sdtasdt0(xq,xu))
& aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X0,slsdtgt0(xb)) ) ),
inference(rectify,[],[f53]) ).
fof(f53,negated_conjecture,
~ ( ? [X1,X0] :
( aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = smndt0(sdtasdt0(xq,xu))
& aElementOf0(X0,slsdtgt0(xa)) )
| aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
( ? [X1,X0] :
( aElementOf0(X1,slsdtgt0(xb))
& sdtpldt0(X0,X1) = smndt0(sdtasdt0(xq,xu))
& aElementOf0(X0,slsdtgt0(xa)) )
| aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1243,plain,
( ! [X6] :
( aElementOf0(smndt0(X6),xI)
| ~ aElementOf0(X6,xI)
| ~ aElement0(X6) )
| ~ spl43_39 ),
inference(subsumption_resolution,[],[f1145,f764]) ).
fof(f764,plain,
( aElement0(smndt0(sz10))
| ~ spl43_39 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1145,plain,
! [X6] :
( ~ aElementOf0(X6,xI)
| aElementOf0(smndt0(X6),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X6) ),
inference(superposition,[],[f332,f210]) ).
fof(f210,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f809,plain,
spl43_39,
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f808,plain,
( $false
| spl43_39 ),
inference(subsumption_resolution,[],[f807,f212]) ).
fof(f212,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f807,plain,
( ~ aElement0(sz10)
| spl43_39 ),
inference(resolution,[],[f765,f265]) ).
fof(f265,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(f765,plain,
( ~ aElement0(smndt0(sz10))
| spl43_39 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f521,plain,
spl43_16,
inference(avatar_split_clause,[],[f520,f483]) ).
fof(f520,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f491,f334]) ).
fof(f334,plain,
aSet0(xI),
inference(cnf_transformation,[],[f202]) ).
fof(f491,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f257,f360]) ).
fof(f257,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG120+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 12:13:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (846)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49 % (847)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (866)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50 % (868)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.50 % (860)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (849)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52 % (840)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (865)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (860)Instruction limit reached!
% 0.20/0.52 % (860)------------------------------
% 0.20/0.52 % (860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (860)Termination reason: Unknown
% 0.20/0.52 % (860)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (860)Memory used [KB]: 1535
% 0.20/0.52 % (860)Time elapsed: 0.004 s
% 0.20/0.52 % (860)Instructions burned: 4 (million)
% 0.20/0.52 % (860)------------------------------
% 0.20/0.52 % (860)------------------------------
% 0.20/0.52 % (841)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (843)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (842)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (842)Instruction limit reached!
% 0.20/0.52 % (842)------------------------------
% 0.20/0.52 % (842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (842)Termination reason: Unknown
% 0.20/0.52 % (842)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (842)Memory used [KB]: 1663
% 0.20/0.52 % (842)Time elapsed: 0.003 s
% 0.20/0.52 % (842)Instructions burned: 4 (million)
% 0.20/0.52 % (842)------------------------------
% 0.20/0.52 % (842)------------------------------
% 0.20/0.52 % (858)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (858)Instruction limit reached!
% 0.20/0.52 % (858)------------------------------
% 0.20/0.52 % (858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (858)Termination reason: Unknown
% 0.20/0.52 % (844)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (858)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (858)Memory used [KB]: 1663
% 0.20/0.52 % (858)Time elapsed: 0.004 s
% 0.20/0.52 % (858)Instructions burned: 7 (million)
% 0.20/0.52 % (858)------------------------------
% 0.20/0.52 % (858)------------------------------
% 0.20/0.53 % (841)Instruction limit reached!
% 0.20/0.53 % (841)------------------------------
% 0.20/0.53 % (841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (841)Termination reason: Unknown
% 0.20/0.53 % (841)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (841)Memory used [KB]: 6396
% 0.20/0.53 % (841)Time elapsed: 0.135 s
% 0.20/0.53 % (841)Instructions burned: 14 (million)
% 0.20/0.53 % (841)------------------------------
% 0.20/0.53 % (841)------------------------------
% 0.20/0.53 % (867)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (870)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (845)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (856)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (869)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (871)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (859)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (871)Instruction limit reached!
% 0.20/0.53 % (871)------------------------------
% 0.20/0.53 % (871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (871)Termination reason: Unknown
% 0.20/0.53 % (871)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (871)Memory used [KB]: 1663
% 0.20/0.53 % (871)Time elapsed: 0.004 s
% 0.20/0.53 % (871)Instructions burned: 9 (million)
% 0.20/0.53 % (871)------------------------------
% 0.20/0.53 % (871)------------------------------
% 0.20/0.53 % (846)First to succeed.
% 0.20/0.53 % (862)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53 % (861)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (846)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (846)------------------------------
% 0.20/0.54 % (846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (846)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (846)Memory used [KB]: 6780
% 0.20/0.54 % (846)Time elapsed: 0.146 s
% 0.20/0.54 % (846)Instructions burned: 26 (million)
% 0.20/0.54 % (846)------------------------------
% 0.20/0.54 % (846)------------------------------
% 0.20/0.54 % (839)Success in time 0.189 s
%------------------------------------------------------------------------------